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Finding the Fourth Proportional to 59,782.78, 81,902.77 and 57,540.70

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Solution

The fourth proportional to 59,782.78, 81,902.77 and 57,540.70 is: 78,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,782.78 : 81,902.77 = 57,540.70 : x
  2. Step 2: Convert to fraction form
    59,782.78/81,902.77 = 57,540.70/x
  3. Step 3: Cross multiply
    59,782.78x = 81,902.77 × 57,540.70
  4. Step 4: Simplify right side
    59,782.78x = 4,712,742,717.74
  5. Step 5: Solve for x
    x = 4,712,742,717.74/59,782.78
  6. Step 6: Final answer
    x = 78,831.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.